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材料导报  2019, Vol. 33 Issue (24): 4188-4192    https://doi.org/10.11896/cldb.18110117
  高分子与聚合物基复合材料 |
双轴拉伸下高聚物的时间-应力等效原理试验研究
马燕, 刘秀, 罗利, 罗文波, 张永军
湘潭大学土木工程与力学学院,湘潭 411105
Time-Stress Superposition Principle of Polymers Under Biaxial Tension: Experimental Study
MA Yan, LIU Xiu, LUO Li, LUO Wenbo, ZHANG Yongjun
College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan 411105
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摘要 时间-应力等效原理(TSSP)能有效简化高聚物的黏弹性本构模型和力学性能测试。以往研究主要集中在单向应力状态,但工程构件通常处于双向或三向复杂应力状态。为此,首先利用有限元方法对双轴十字型试样进行合理设计与优化,使试样中心测试区的应力和应变基本满足均匀分布,并依此加工出硅橡胶试样。然后,对硅橡胶试样进行不同应力水平及应力比的双轴蠕变试验,获得一系列短期蠕变试验曲线。基于柯西应力和左柯西-格林变形张量定义合适的应力度量和变形度量以探讨双轴拉伸下的TSSP。按照主曲线移位方法,将不同应力水平下的短期性能曲线沿对数时间轴移位构建出宽广时域的主曲线。利用应力移位因子方程对移位结果进行非线性回归分析,获得相应的方程参数。研究结果可为复杂应力状态下黏弹性高聚物的长期力学性能加速表征和长期寿命预估提供理论基础和重要参考。
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马燕
刘秀
罗利
罗文波
张永军
关键词:  时间-应力等效原理  十字型试样  双轴拉伸  移位因子  加速表征    
Abstract: It is generally recognized that time-stress superposition principle (TSSP) can effectively simplify the constitutive models and mechanical performance tests of viscoelastic polymers. Previous studies mainly focused on the uniaxial stress state, while practical engineering components are usually under biaxial or triaxial complex stress state. To this end, we first utilized the finite element method to reasonably design and optimize the biaxial cruciform specimens, so as to made the stress and strain in the test area of the sample basically satisfy uniform distribution, and processed the silicone rubber samples accordingly. Secondly, we carried out biaxial creep tests on the samples under various stress levels and diverse load ratios, a series of short-term creep test curves were acquired. Finally, we defined appropriate stress and deformation measures based on Cauchy stress and Left Cauchy-Green deformation tensor to investigate TSSP under biaxial tension. According to the shift method, we shifted the short-term creep curves under diverse load levels along the logarithmic time axis to construct the master curve in a wide time domain, and obtained the corresponding shift factors as well. Furthermore, nonlinear regression analysis of the shift result was conducted by using the stress shift factor equation, and the corresponding equation parameters were obtained. Consequently, the research results can provide theoretical basis and important reference for accelerated characterization of long-term mechanical properties and long-term life prediction of viscoelastic polymers under complex stress conditions.
Key words:  time-stress superposition principle    cruciform specimen    biaxial tension    shift factor    acceleration characterization
               出版日期:  2019-12-25      发布日期:  2019-10-28
ZTFLH:  O371  
基金资助: 国家自然科学基金(11802259)
作者简介:  马燕,一般力学与力学基础专业,湘潭大学硕士研究生。主要从事流变学理论与应用的研究;刘秀,湘潭大学讲师,2015年毕业于湘潭大学,获工学博士学位,主要从事固体流变学的相关研究。
引用本文:    
马燕, 刘秀, 罗利, 罗文波, 张永军. 双轴拉伸下高聚物的时间-应力等效原理试验研究[J]. 材料导报, 2019, 33(24): 4188-4192.
MA Yan, LIU Xiu, LUO Li, LUO Wenbo, ZHANG Yongjun. Time-Stress Superposition Principle of Polymers Under Biaxial Tension: Experimental Study. Materials Reports, 2019, 33(24): 4188-4192.
链接本文:  
http://www.mater-rep.com/CN/10.11896/cldb.18110117  或          http://www.mater-rep.com/CN/Y2019/V33/I24/4188
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